Question

1-simplifique as raizes

2-determine o valor de cada□

Answer 1

Explicação passo-a-passo:

$1\\ a)\\ ~~\sqrt[3]{88} =\sqrt[3]{2^3.11} =2\sqrt[3]{11} \\ \\ b)\\ \sqrt{162} =\sqrt{2.3^2.3^2} =3.3\sqrt{2} =9\sqrt{2} \\ \\ c)\\ \sqrt[4]{405} =\sqrt[4]{3^4.5} =3\sqrt[4]{5} \\ \\ d)\\ \sqrt[3]{2808} =\sqrt[3]{2^3.2^3.13} =3.3\sqrt[3]{13} =9\sqrt{13} \\ \\ e)\\ \sqrt[4]{7936} =\sqrt[4]{2^4.2^4.31} =2.2\sqrt[4]{31} =4\sqrt[4]{31}$

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2

$a)\\ \sqrt{175} =\sqrt{5^2.7} =\fbox{ 5\sqrt{7} }\\ \\ b)\\ \sqrt{92} =\sqrt{2^2.23} =\fbox{ 2\sqrt{23} }\\ \\ c)\\ \sqrt{153} =\sqrt{3^2.17} =\fbox{ 3\sqrt{17} }\\ \\ d)\\ \sqrt[3]{768} =\sqrt[3]{2^3.2^3.2^2.3} =2.2\sqrt[3]{4.3} =\fbox{ 4\sqrt[3]{12} }$